Complete question :
The computer output and scatter plot output pertaining to the question can be found in the attached picture.
Answer:
Kindly check explanation
Step-by-step explanation:
A.) Relationship between height and fastest serve speed :
According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²
R = √27.7%
R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed
B.)
Equation of least square regression line :
From the computer output and scatter plot above :
Recall :
y = mx + c
y =predicted variable (s fastest serve)
m= slope
x = predictor variable (height)
c = intercept
y = 84.98x + 68.81
C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables
D.) fastest serve of tennis player with height 1.7m
y = 84.98x + 68.81
y = 84.98(1.7) + 68.81
y = 213.276km/hr
E.)
R = √27.7%
R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed
F.)
Height = 2.06m = x
y = 84.98(2.06) + 68.81
y = 243.8688 km/hr
Residual = Actual - predicted
Actual = 230 ; predicted = 243.8688
Residual = 230 - 243.8688
Residual = −13.8688
Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr
, so that we rewrite the above as
of the line chosen, which means the limit is path-dependent and thus does not exist.